作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
4 D, e9 a5 H2 C# U7 |  hmonths respectively from the date of the agreement. With each payment, Louise
% k  D4 |' x! @+ g# J9 K) z. _agreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
- p- [+ m" Y; g+ Y! s. ?" ^& Kfailed to make the first payment and now wishes to settle her obligations with a
# U+ A1 V2 V- _  l$ vsingle payment four months from now. What payment should Thelma be willing to
3 V0 D0 `4 O$ {& e0 c! b' ]accept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
                Month 0        Mon. 8                  Mon. 12
Cash Principal        X        -750                  -950       
Cash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
$ k* O/ R1 I: K0 E2 B1 c& G( K, v6 wPV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)

these 3 should add up to 0, i.e. NPV at month 0 is 0.
/ q# ?- J) L2 w                                       
# Z  Q5 O- s/ V' J0 c; Z' nConclusion        X        =        1729.8               
                                       
/ |& U% o1 v* o. c- x4 qSo, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860

littledognancy

Finance 学得不好所以不知道做得对不对。。。看着办吧~ 也许有用。

linchan

对了，答案是$1856.32